长二相编码信号旁瓣抑制滤波器的设计

Design of Sidelobe Suppression Filter for Long Biphase-coded Signals

为了解决长二相编码信号脉压旁瓣抑制滤波器设计过程中易出现局部最优的问题,讨论了基于凸优化的旁瓣抑制滤波器设计方法。从时域波形入手分析了二相编码信号的失配滤波,结合工程设计和凸优化的性质,以失配滤波损失和峰值旁瓣电平为约束条件,将旁瓣抑制滤波器的设计转换为凸优化问题,利用CVX工具设计了长二相编码信号的旁瓣抑制失配滤波器,并进行了仿真分析。仿真结果表明,基于凸优化的设计方法可以有效解决长二相编码信号旁瓣抑制滤波器设计中局部最优的困扰,所设计的失配滤波器具有较好的峰值旁瓣电平性能。

To resolve the problem that the procedure to desgin sidelobe suppression filters for long biphase codes may be riddled with local optima, a design method of sidelobe suppression filter based on convex optimization is discussed. The mismatched filter of biphase code is analyzed in time domain. Considering the engineering design and the properties of a convex optimization, the design of sidelobe suppressioned filter is posed as a convex optimization problem with the constrained conditions of mismatch filter loss and peak sidelobe level （PSL）. The sidelobe suppression mismatched filters for long biphase codes are implemented with CVX toolbox. The simulation results show that the method based on convex optimization can avoid local optima in procedure of computing sidelobe suppression filters coefficients, and these mismatched filters have satisfied the PSL performance.